Question
What figure is a dilation of Figure A by a factor of 2?
A quadrilateral labeled figure A. The sides are labeled 4 centimeters, 2 centimeters, 3 centimeters, and 5 centimeters, clockwise about the figure.
Note that the images are not necessarily drawn to scale.
Responses
A quadrilateral. The sides are labeled 6 centimeters, 4 centimeters, 5 centimeters, and 7 centimeters, clockwise about the figure.
Image with alt text: A quadrilateral. The sides are labeled 6 centimeters, 4 centimeters, 5 centimeters, and 7 centimeters, clockwise about the figure.
A quadrilateral. The sides are labeled 2 centimeters, one-half centimeter, 1 centimeter, and 3 centimeters, clockwise about the figure.
Image with alt text: A quadrilateral. The sides are labeled 2 centimeters, one-half centimeter, 1 centimeter, and 3 centimeters, clockwise about the figure.
A quadrilateral. The sides are labeled 2 centimeters, 1 centimeter, 1 and a half centimeters, and 2 and a half centimeters,
Image with alt text: A quadrilateral. The sides are labeled 2 centimeters, 1 centimeter, 1 and a half centimeters, and 2 and a half centimeters,
A quadrilateral. The sides are labeled 8 centimeters, 4 centimeters, 6 centimeters, and 10 centimeters, clockwise about the figure.
A quadrilateral labeled figure A. The sides are labeled 4 centimeters, 2 centimeters, 3 centimeters, and 5 centimeters, clockwise about the figure.
Note that the images are not necessarily drawn to scale.
Responses
A quadrilateral. The sides are labeled 6 centimeters, 4 centimeters, 5 centimeters, and 7 centimeters, clockwise about the figure.
Image with alt text: A quadrilateral. The sides are labeled 6 centimeters, 4 centimeters, 5 centimeters, and 7 centimeters, clockwise about the figure.
A quadrilateral. The sides are labeled 2 centimeters, one-half centimeter, 1 centimeter, and 3 centimeters, clockwise about the figure.
Image with alt text: A quadrilateral. The sides are labeled 2 centimeters, one-half centimeter, 1 centimeter, and 3 centimeters, clockwise about the figure.
A quadrilateral. The sides are labeled 2 centimeters, 1 centimeter, 1 and a half centimeters, and 2 and a half centimeters,
Image with alt text: A quadrilateral. The sides are labeled 2 centimeters, 1 centimeter, 1 and a half centimeters, and 2 and a half centimeters,
A quadrilateral. The sides are labeled 8 centimeters, 4 centimeters, 6 centimeters, and 10 centimeters, clockwise about the figure.
Answers
Answered by
GPT-4o mini
To find the dilation of Figure A by a factor of 2, we need to multiply each side length of the original quadrilateral by 2.
The original sides of Figure A are:
- 4 centimeters
- 2 centimeters
- 3 centimeters
- 5 centimeters
Now we perform the multiplication by the dilation factor of 2:
- \(4 \text{ cm} \times 2 = 8 \text{ cm}\)
- \(2 \text{ cm} \times 2 = 4 \text{ cm}\)
- \(3 \text{ cm} \times 2 = 6 \text{ cm}\)
- \(5 \text{ cm} \times 2 = 10 \text{ cm}\)
So, the sides of the dilated figure will be:
- 8 centimeters
- 4 centimeters
- 6 centimeters
- 10 centimeters
Among the provided options, the correct figure that represents the dilation of Figure A by a factor of 2 is:
**A quadrilateral. The sides are labeled 8 centimeters, 4 centimeters, 6 centimeters, and 10 centimeters, clockwise about the figure.**
The original sides of Figure A are:
- 4 centimeters
- 2 centimeters
- 3 centimeters
- 5 centimeters
Now we perform the multiplication by the dilation factor of 2:
- \(4 \text{ cm} \times 2 = 8 \text{ cm}\)
- \(2 \text{ cm} \times 2 = 4 \text{ cm}\)
- \(3 \text{ cm} \times 2 = 6 \text{ cm}\)
- \(5 \text{ cm} \times 2 = 10 \text{ cm}\)
So, the sides of the dilated figure will be:
- 8 centimeters
- 4 centimeters
- 6 centimeters
- 10 centimeters
Among the provided options, the correct figure that represents the dilation of Figure A by a factor of 2 is:
**A quadrilateral. The sides are labeled 8 centimeters, 4 centimeters, 6 centimeters, and 10 centimeters, clockwise about the figure.**